The garden view hotel is 235 feet tall
Step-by-step explanation:
The given is:
- The garden view hotel is seventeen less than twice the height of the plaza hotel
- Their combined height is 361 feet
We need to find the height of the garden view hotel
Assume that the height of garden view hotel is x feet and the height of the plaza hotel is y feet
∵ The height of the garden view hotel = x feet
∵ The height of the plaza hotel = y feet
∵ The height of the garden view hotel is 17 less than twice the
height of the plaza hotel
- That means x is less than 2 × y by 17, equate x by the difference
of 2 × y and 17
∴ x = 2y - 17 ⇒ (1)
∵ Their combined height = 361 feet
∴ x + y = 361
- Find y in terms of x by subtraction x from both sides
∴ y = 361 - x ⇒ (2)
Substitute y in equation (1) by equation (2)
∵ x = 2(361 - x) - 17
- Simplify the right hand side
∴ x = 722 - 2x - 17
- Add like terms
∴ x = 705 - 2x
- Add 2x to both sides
∴ 3x = 705
- Divide both sides by 3
∴ x = 235
The garden view hotel is 235 feet tall
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C = 2πr
C = 2(3.14)(2.5)
C = 15.7 = 16 cm is your answer.
282.6 m = πD
282.6 m = (3.14)D
282.6 m/3.14 = 3.14/3.14 x D
90 m = D
90 meters is the diameter.
hope this helps you!!!
4/6 = 12/18
8/10 = 16/20
2/5 = 4/10
1/4 = 4/16
Can I get brainiest please.
Answer:
B. Earnest money
Step-by-step explanation:
We have the statement,
'A buyer pays a deposit to the seller in advance before completing the transaction'.
'Earnest money' is 'the amount deposited by the buyer to the seller in advance, as a representation of a good faith to buy the required thing'.
Thus, we see that the statement represents 'Earnest money'.
So, option B is correct.
Let h be the height of the tree and d the distance to the top of the tree from the point on the ground. Draw a diagram to visualize the situation:
Since the distance to the top of the tree is 11 ft more than two times the height, then:

Use the Pythagorean Theorem to relate the length of the sides of the right triangle:

Notice that we have obtained a quadratic equation in terms of h. Write it in standard form and use the quadratic formula to solve for h:

Since the height of the tree must be positive, the only solution is h=39ft. To the nearest foot, the height of the tree is 39.
Therefore, the height of the tree is 39 ft.